采用稳定化有限元法对服从OldroydB型构成律的黏弹性流动数值分析 .应力 ,速度和压力分别用不连续分片k次多项式Pk ,连续分片k + 1次多项式Pk+ 1和连续分片k次多项式Pk 逼近 ,这里k≥ 0为任意整数 .Lesaint Raviart方法被用于处理附加应力张量的扩对流项 .在假设连续问题有一充分小的光滑解的情况下 ,用不动点定理证明了逼近问题有唯一解 ,并给出了误差估计 The steady-state finite element method is used to analyze the viscoelastic flow obeying Oldroyd type B. The stresses, velocities and pressures are respectively expressed in discontinuous k-th polynomial Pk, continuous k + 1 degree polynomial Pk + 1 and continuous k The polynomial Pk is approximated, where k≥0 is an arbitrary integer. The Laspey Raviart method is used to deal with the extended convection term of the additional stress tensor. Using the fixed point theorem, which proves that the continuous problem has a sufficiently small and smooth solution, There is a unique solution to the approximation problem and an error estimate is given